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The algebra of mode homomorphisms

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Adaricheva K., Romanowska A., Smith J.

Open Mathematics

2014

tom 12

nr 8

1265-1277

Modes are idempotent and entropic algebras. While the mode structure of sets of submodes has received considerable attention in the past, this paper is devoted to the study of mode structure on sets of mode homomorphisms. Connections between the two constructions are established. A detailed analysis is given for the algebra of homomorphisms from submodes of one mode to submodes of another. In particular, it is shown that such algebras can be decomposed as Płonka sums of more elementary homomorphism algebras. Some critical examples are examined.

Ograniczanie wyników

1 Open Mathematics

1 Adaricheva K.

1 Romanowska A.

1 Smith J.

1 2014

Wyniki wyszukiwania

The algebra of mode homomorphisms